PROBABILITY the extent to which an event is likely to occur.

Slides:



Advertisements
Similar presentations
Click to begin. Problem Sol v ing CombinationsChances Certain or Impossible Predict the Outcome Outcomes.
Advertisements

TODAY IN GEOMETRY…  What’s next…concepts covered before Semester Finals!  Learning Goal: You will find the probability for simple events  Independent.
Copyright©Ed2NetLearning.Inc 1 OUTCOMES. Copyright©Ed2NetLearning.Inc 2 Previous Knowledge 1. A number cube is rolled. What is the probability of rolling.
Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make.
Combined Events Statistics and Probability. Finding all possible outcomes of two events Two coins are thrown. What is the probability of getting two heads?
Over Lesson 13–7 1) What is the probability of getting a 7 while rolling two number cubes? 2) What is the probability of rolling an odd number when rolling.
Creating Tree Diagrams to find Theoretical Probability
Transparency 2 Click the mouse button or press the Space Bar to display the answers.
Copyright©Ed2NetLearning.Inc 1 OUTCOMES. Copyright©Ed2NetLearning.Inc 2 Previous Knowledge 1. A number cube is rolled. What is the probability of rolling.
Probability.  Tree Diagram: A diagram with branches that is used to list all possible outcomes. Example: Meal choices: Burger, hot dog, Pizza Drinks:
Warm Up Use an inequality symbol to make each expression true a x 10 4 ___________ 5, 430 b. 32 ÷ ¼ ___________ 32 ÷4 c. 0.72___________¾.
Math 310 Section 7.2 Probability. Succession of Events So far, our discussion of events have been in terms of a single stage scenario. We might be looking.
Confidential2 Warm Up 1.Tossing a quarter and a nickel HT, HT, TH, TT; 4 2. Choosing a letter from D,E, and F, and a number from 1 and 2 D1, D2, E1, E2,
Probability – Compound Events. What is a Compound Event? It is the probability of two or more things happening at once.
Lesson 14.1 Probability and the Basic Counting Principle.
Confidential2 Warm Up 1.Tossing a quarter and a nickel 2. Choosing a letter from D,E, and F, and a number from 1 and 2 3.Choosing a tuna, ham, or egg.
The Counting Principle (Multiplication Principle) Multiplication principle: the total number of outcomes for an event is found by multiplying the number.
Jeopardy!.
Probability 7 th Grade CCGPS. Lesson 1.
08b Outcomes SMC Tanya had 3 choices for her sandwich: PBJ, ham or turkey. She can choose between 2 types of fruit: apple or banana. She also has the choice.
Probability Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy
Vocabulary Tree Diagram – A way for counting possible outcomes Sample Space – List of all possible outcomes Event – Any collection of one or more outcomes.
Probability Bingo!. Use any 9 of these numbers ¼35%½ 1/31/3 12%0.42¾ 5/65/6 3 / / % 55% / 15.
Please complete the “S” portion of SELFIE today. Gwen made a scale drawing of the elementary school. The scale of the drawing was ___ millimeter = ___.
Counting Principles and Permutations. Sample Space: set of all possible outcomes in an experiment A coin is tossed twice. Represent the sample space in.
1 Tree Diagrams. 2 A tree diagram is an organized list that can help you determine the number of possible outcomes. – You start off a tree diagram by.
TREE DIAGRAMS. Tree Diagrams and Possible Outcomes Tree diagrams, as the name suggests, look like a tree as they branch out symmetrically. Tree diagrams.
12.4 Counting Outcomes and Theoretical Probability.
Bell Work Determine the total number of outcomes (combinations). 1) You are picking an outfit from the following list of clothes. If you choose one hat,
SCENARIO A John can take three classes a day. For first period, he can choose math or English. For second period, he can choose history, science, or computer.
Probability 6.20 Review. A man has two pair of pants. BlueBlack.
T HEORETICAL P ROBABILITY Lesson 16. WARM UP Name the property illustrated = = 0 2(x + 5) = 2x (3 + 5) = (2 + 3) + 5.
 Roll a die, flip a coin  Unique 3 letter arrangements of CAT  Unique 4 digit arrangements of 1, 2, 3, 4.
Probability and Sample Space
Listing Possibilities SDAP 2.1 Students list possible outcomes in a given event.
FORM : 4 DEDIKASI PRESENTED BY : GROUP 11 KOSM, GOLDCOURSE HOTEL, KLANG FORM : 4 DEDIKASI PRESENTED BY : GROUP 11 KOSM, GOLDCOURSE HOTEL, KLANG.
Journal: 1)Suppose you guessed on a multiple choice question (4 answers). What was the chance that you marked the correct answer? Explain. 2)What is the.
Do Now 1. Read through the lab on page 374 and answer question #1 individually. 2. With your partner from yesterday complete the lab on page 374. The labeled.
Discuss with your neighbor…
14.2 Warm Up 1. Ms. Palomaa needs to pick a queen and king for her 1 st hour class. She has 10 girls and 12 boys in her class. How many different ways.
1. choosing north, south, east, or west and one of the 50 states
DAY 6: FUNDAMENTAL COUNTING PRINCIPLE Classwork: pptx examples in class Discrete Pre- Test (not a grade in HAC) Unit 2 Project- Due day 13 Homework (day.
Monday, March 31, 2014 AIM: What is the Multiplication Counting Principle?  DO NOW: Kimberly has three pair of pants: one black, one red, and one tan.
Combined Events Sample Space Diagrams Second die First die Sample space diagrams This table is another way of displaying all the.
Probability of Simple Events
Multiplication Counting Principle How many ways can you make an outfit out of 2 shirts and 4 pants? If there are m choices for step 1 and n choices for.
Independent and Dependent events. What is the difference between independent and dependent events?  You have three marbles in a bag. There are two blue.
Warm Up What is the theoretical probability of rolling a die and landing on a composite number?
Mrs Patek has three pairs of capri pants, a black pair, a tan pair and a blue pair. She also has two different T- shirts, one white and one pink. Make.
1. The father determines the gender of the child True or False?
S U C C E S S I O N. Z Z Scissors Paper Stone  Scissors beats paper (cuts it)  Paper beats rock (wraps it)  Rock beats scissors (blunts it)
Caleb has 11 red marbles, 15 green marbles, 8 yellow marbles, 5 white marbles, 9 blue marbles, and 2 black marbles in a bag. There are no other marbles.
1. A sample space consists of 18 separate events that are equally likely. What is the probability of each? A) 0 C) 1 B) 1 D)
Chapter 12: Data Analysis & Probability 12.4 Counting Outcomes & Theoretical Probability.
Objectives: 1.Find the probability of a Simple Event 2. Determine the outcome of an experiment 3. Predict which events are likely or unlikely.
In this lesson you will work with different models for organizing outcomes of multiple events when both one event and another event occur.  Throughout.
Probability of Multiple Events
EXAMPLE 1 Find a sample space
Counting Principles and Tree Diagrams
Pettit 9-2 Notes D7 : Compute probabilities using tree diagrams
Unit 8. Day 6..
Probability Trees By Anthony Stones.
Finding Probability Using Tree Diagrams or Tables
Lesson – Teacher Notes Standard:
Lesson – Teacher Notes Standard:
Possible Outcomes Name: __________________________________
Lesson – Teacher Notes Standard:
Note 6: Conditional Probability
Tree Diagrams Monday, October 15, 2012 Mr. Pearson
Two coins are flipped at the same time Two coins are flipped at the same time. Compare and contrast what is the same and what is different about.
Presentation transcript:

PROBABILITY the extent to which an event is likely to occur

HeadsTails Heads Tails How many different outcomes are there when flipping 2 coins? H;H H;T T;H T;T There are a total of 4 outcomes There is a 1 in 4 chance (25%) of getting two heads There is a 2 in 4 chance (50%) of getting a head and a tail

Drawing a tree diagram event 1event 2outcomes Heads, Heads Heads, Tails Tails, Heads Tails, Tails

Heads Tails H;1 H;2H;3H;4 H;5 H;6 T;1 T;2T;3T;4T;5T;6 There are a total of 12 outcomes What is the chance of getting tails and a 5?1 in 12 What is the chance of getting tails?6 in 12 or 1 in 2 What is the chance of getting 3? 2 in 12 or 1 in 6 How many different outcomes are there when flipping a coins and throwing a dice?

Drawing a tree diagram                           

;11;21;31;41;51;6 2;12;22;32;42;52;6 3;13;23;33;43;53;6 4;14;24;34;44;54;6 5;15;25;35;45;55;6 6;16;26;36;46;56;6 How many different outcomes are there when throwing 2 dice? There are a total of 36 outcomes What is the chance of getting 2 sixes?1 in 36 What is the chance of getting a 1 and a 4? 2 in 36 What is the chance of getting a 6?11 in 36

Ice Cream choices Cones Plain Chocolate Ice-Cream Flavours Vanilla StrawberryFudge Toppings Nuts Jelly tots Banana How many combo’s can be made? Draw a tree- diagram

A couple decides to have 2 children. There are a few possibilities: 2 boys, 2 girls, the eldest a boy and the younger a girl or the eldest a girl and the youngest a boy. Show their options in a two-way table. How many combinations would there be if the couple wants 3 children? Why would you not be able to show your answer in (b) in a two-way table? Show the options for (b) in a tree diagram. How many combinations would there be if the couple decides to have 4 children?

A restaurant sells a variety of sandwiches. They have the following options available: 3 types of bread: White, Brown or Whole-wheat bread 4 different fillings: Chicken mayo, Ham and cheese, Cheese and Tomato, Bacon and Egg fillings 2 different side orders: Salad or Chips How many different sandwich orders can be made if all orders include 1 type of bread, 1 filling and a side order? Show all the combinations in a tree diagram.

Emily just got a new job at the local coffee shop. For her uniform, she must wear a white, brown or burgundy shirt with a brown skirt or pants. How many outfits can she make? Create a tree diagram to illustrate your solution.

When Chanel bought her new iPod player, she could choose between 1G, 2G, and 5G memories and a choice of red, pink and black cases. Draw a tree diagram for this situation.

A box contains 20 chocolates, of which 15 have soft centres and 5 have hard centres. Two chocolates are taken at random, one after the other. a) Draw a tree-diagram to represent the situation b) Calculate the probability that, both chocolates have soft centres, c) one of each chocolate is taken, d) both chocolates have hard centres, given that the second chocolate has a hard centre

Soft centre Hard centre Soft centre Hard centre 5 in in 20 4 in in 19 5 in in 19